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Carbou, G.* ; Efendiyev, M.A. ; Fabrie, P.*

Relaxed model for the hysteresis in micromagnetism.

Proc. R. Soc. Edinburgh, Sect. A 139, Part 4, 759-773 (2009)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
We study a model of ferromagnetic material with hysteresis effects. The magnetic moment behaviour is described by the nonlinear Landau-Lifshitz equation with an additional term modelling the hysteresis. This term takes the form of a maximal monotone operator acting on the time derivative of the magnetic moment. In our model, it is approximated via a relaxing heat equation. For this relaxed model we prove local existence of regular solutions.
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Publication type Article: Journal article
Document type Scientific Article
Keywords no keywords
Language
Publication Year 2009
HGF-reported in Year 2009
ISSN (print) / ISBN 0308-2105
e-ISSN 1473-7124
Journal Proceedings of the Royal Society of Edinburgh, Section A: Mathematics
Quellenangaben Volume: 139, Issue: 4, Pages: 759-773, Article Number: , Supplement: Part 4
Publisher Cambridge Univ. Press
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)
PSP Element(s) G-503800-002
DOI 10.1017/S0308210507001205
Scopus ID 70149102025
Erfassungsdatum 2009-12-31
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